SU(3) and SU(4) singlet quantum Hall states at $\nu =2/3$

Abstract

We report on an exact diagonalization study of fractional quantum Hall states at filling factor $\nu =2/3$ in a system with a four-fold degenerate $n$=0 Landau level and SU(4) symmetric Coulomb interactions. Our investigation reveals previously unidentified SU(3) and SU(4) singlet ground states which appear at flux quantum shift 2 when a spherical geometry is employed, and lie outside the established composite-fermion or multicomponent Halperin state patterns. We evaluate the two-particle correlation functions of these states, and discuss quantum phase transitions in graphene between singlet states with different number of components as magnetic field strength is increased.

5+2 pages, 3 figures

References in corpus (16)

• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Quantum Hall Ferromagnetism in Graphene
• Multicomponent fractional quantum Hall effect in graphene
• Quantum Hall effect and Landau level crossing of Dirac fermions in trilayer graphene
• Interaction corrections to the polarization function of graphene
• Valley polarization and susceptibility of composite fermions around nu=3/2
• Analysis of a SU(4) generalization of Halperin's wave function as an approach towards a SU(4) fractional quantum Hall effect in graphene sheets
• Spinful Composite Fermions in a Negative Effective Field
• The Effects of Landau level mixing on the fractional quantum Hall effect in monolayer Graphene
• Insulating state in tetralayers reveals an even-odd interaction effect in multilayer graphene
• SO(5) symmetry in the quantum Hall effect in graphene
• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Abelian and Non-Abelian States in $\nu =2/3$ Bilayer Fractional Quantum Hall Systems
• Competing Abelian and non-Abelian topological orders in $\nu =1/3+1/3$ quantum Hall bilayers
• Atypical Fractional Quantum Hall Effect in Graphene at Filling Factor 1/3
• Polarization dependent Landau level crossing in a two-dimensional electron system in MgZnO/ZnO-heterostructure

Cited by in corpus (10)

• Spontaneous polarization of composite fermions in the $n=1$ Landau level of graphene
• Theoretical phase diagram of two-component composite fermions in double layer graphene
• Skyrmion quantum spin Hall effect
• Theory of Competing Charge Density Wave, Kekule and Antiferromagnetic ordered Fractional Quantum Hall states in Graphene aligned with Boron Nitride
• Is the composite fermion state of Graphene a doped Chern insulator?
• Moiré Assisted Fractional Quantum Hall State Spectroscopy
• Magnetic and Lattice Ordered Fractional Quantum Hall Phases in Graphene
• Spin and valley ordering of fractional quantum Hall states in monolayer graphene
• Three-component fractional quantum Hall effect in topological flat bands
• Spontaneous Breaking of the SU(3) Flavor Symmetry in a Quantum Hall Valley Nematic